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Finding the Fourth Proportional to 404.97, 606.99 and 185.76

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Solution

The fourth proportional to 404.97, 606.99 and 185.76 is: 278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.97 : 606.99 = 185.76 : x
  2. Step 2: Convert to fraction form
    404.97/606.99 = 185.76/x
  3. Step 3: Cross multiply
    404.97x = 606.99 × 185.76
  4. Step 4: Simplify right side
    404.97x = 112,754.46
  5. Step 5: Solve for x
    x = 112,754.46/404.97
  6. Step 6: Final answer
    x = 278.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.